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Finding the Fourth Proportional to 796.59, 1,099.19 and 455.89

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Solution

The fourth proportional to 796.59, 1,099.19 and 455.89 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.59 : 1,099.19 = 455.89 : x
  2. Step 2: Convert to fraction form
    796.59/1,099.19 = 455.89/x
  3. Step 3: Cross multiply
    796.59x = 1,099.19 × 455.89
  4. Step 4: Simplify right side
    796.59x = 501,104.70
  5. Step 5: Solve for x
    x = 501,104.70/796.59
  6. Step 6: Final answer
    x = 629.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.